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Phys. Rev. Lett. 79, 4732–4735 (1997)

Einstein's Equation in Ashtekar's Variables Constitutes a Symmetric Hyperbolic System

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Mirta S. Iriondo, Enzo O. Leguizamón, and Oscar A. Reula
FaMAF, Medina Allende y Haya de la Torre, Ciudad Universitaria, 5000 Córdoba, Argentina

Received 23 July 1997; published in the issue dated 15 December 1997

We show that the 3+1 vacuum Einstein field equation in Ashtekar's variables constitutes a first-order symmetric hyperbolic system for arbitrary but fixed lapse and shift fields, by suitable adding to the system terms proportional to the constraint equations.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4732
DOI:
10.1103/PhysRevLett.79.4732
PACS:
04.20.Cv